{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:R2M5QGG3NZ42GRPODESZAPZPFW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"dc3d49cb8f31533f5703eb8ba874793a5ad3a2814ff0db2e865aff3e833cd144","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-01-02T19:32:30Z","title_canon_sha256":"05e0d0e83a51deea0cb1633395defd2344ef8d49d0667871b404114c02bd98ec"},"schema_version":"1.0","source":{"id":"1701.01047","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01047","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01047v2","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01047","created_at":"2026-05-18T00:44:19Z"},{"alias_kind":"pith_short_12","alias_value":"R2M5QGG3NZ42","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"R2M5QGG3NZ42GRPO","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"R2M5QGG3","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:39f65e6f9034eedf4a4b8858b0e62bf0d2f64c6e946f483560b5d8a4a44ceb56","target":"graph","created_at":"2026-05-18T00:44:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We extend the well-known Melzak binomial transform formula to polynomials of any degree and show some applications.","authors_text":"Khristo N. Boyadzhiev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-01-02T19:32:30Z","title":"The formula of Melzak for arbitrary polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01047","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dcd3b35a5157309d337b25184115745174e42273b8366f7251b7ff05a27936f3","target":"record","created_at":"2026-05-18T00:44:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"dc3d49cb8f31533f5703eb8ba874793a5ad3a2814ff0db2e865aff3e833cd144","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-01-02T19:32:30Z","title_canon_sha256":"05e0d0e83a51deea0cb1633395defd2344ef8d49d0667871b404114c02bd98ec"},"schema_version":"1.0","source":{"id":"1701.01047","kind":"arxiv","version":2}},"canonical_sha256":"8e99d818db6e79a345ee1925903f2f2d8cec5bc1290d4bf7bda34892c9cdda92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e99d818db6e79a345ee1925903f2f2d8cec5bc1290d4bf7bda34892c9cdda92","first_computed_at":"2026-05-18T00:44:19.685810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:19.685810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eOHkhfL9j/mylDj24UNKYMKa2Viy0A+AeTgcnDpKNsOxu5Q12vCnzVZ0c7nYbASc5WROKgC01JnkVZ7kzBdyDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:19.686223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.01047","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcd3b35a5157309d337b25184115745174e42273b8366f7251b7ff05a27936f3","sha256:39f65e6f9034eedf4a4b8858b0e62bf0d2f64c6e946f483560b5d8a4a44ceb56"],"state_sha256":"3d9649827013439306062c788bdd4a8fd5edd68a8de258e6bc0714299cc263ce"}